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When being dealt two cards from a standard deck of fifty-two playing cards. What is the probability that both cards are a diamond. Express your answer as a whole percent.

Respuesta :

Answer: 6.25%

Explanation

Given

• 52 playing cards

,

• both cards are a diamond

Procedure

There are 13 cards of diamonds in a standard deck of cards. Thus our probability of getting one diamond is:

[tex]\frac{13}{52}=\frac{1}{4}[/tex]

However, they are asking for two cards. Then:

[tex]\frac{1}{4}\cdot\frac{1}{4}=\frac{1}{16}[/tex]

Expressing as a whole percent:

[tex]\frac{1}{16}=0.0625[/tex][tex]0.0625\times100\%=6.25\%[/tex]

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